differential game
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Automatica ◽  
2022 ◽  
Vol 136 ◽  
pp. 110077
Author(s):  
Yibei Li ◽  
Xiaoming Hu

2021 ◽  
Vol 7 (2) ◽  
pp. 94
Author(s):  
Bahrom T. Samatov ◽  
Ulmasjon B. Soyibboev

In this paper, we study the well-known problem of Isaacs called the "Life line" game when movements of players occur by acceleration vectors, that is, by inertia in Euclidean space. To solve this problem, we investigate the dynamics of the attainability domain of an evader through finding solvability conditions of the pursuit-evasion problems in favor of a pursuer or an evader. Here a pursuit problem is solved by a parallel pursuit strategy. To solve an evasion problem, we propose a strategy for the evader and show that the evasion is possible from given initial positions of players. Note that this work develops and continues studies of Isaacs, Petrosjan, Pshenichnii, Azamov, and others performed for the case of players' movements without inertia.


Author(s):  
I. Voronko

The article considers the reliability and protection of information of computer systems of transport infrastructure and describes the synthesis and analysis of differential game models and methods of modeling cyberattack processes on the server of computer information and diagnostic systems of the railway power supply distance. A unified differential-game model of the cyberattack process on the multi-task server of the information-diagnostic computer system of the lower level of the railway has been developed, which allows to obtain optimal strategies for information protection in cyberattacks. The results of modeling the cyberattack process are presented, to assess the integrated indicators of server security, using the optimal strategies for each of the functions. The appearance of the unified model of the computer information system is shown, and the graphs of the transient processes of the probability of the server being in a protected state and the probability of server failure for any of the functionalities are given.


2021 ◽  
Author(s):  
Aykut Yildiz ◽  
Hossein B. Jond
Keyword(s):  

Mathematics ◽  
2021 ◽  
Vol 9 (23) ◽  
pp. 3099
Author(s):  
Anna Tur ◽  
Ekaterina Gromova ◽  
Dmitry Gromov

We consider a differential game of non-renewable resource extraction, in which the players do not know the precise value of the resource stock and, thus, have to make an estimate. We define the value of information about the initial stock and give recommendations for the choice of the estimate depending on the parameters of the problem. Further, we consider the situation where the players only know the bounds for the stock of the resource and solve the problem of computing the optimal estimate, such that it minimizes the players’ losses in the worst-case scenario. The analysis allows us to give a simple rule for the choice of the optimal estimate of the resource stock.


Author(s):  
Yu.V. Averboukh

The paper is concerned with the approximation of the value function of the zero-sum differential game with the minimal cost, i.e., the differential game with the payoff functional determined by the minimization of some quantity along the trajectory by the solutions of continuous-time stochastic games with the stopping governed by one player. Notice that the value function of the auxiliary continuous-time stochastic game is described by the Isaacs–Bellman equation with additional inequality constraints. The Isaacs–Bellman equation is a parabolic PDE for the case of stochastic differential game and it takes a form of system of ODEs for the case of continuous-time Markov game. The approximation developed in the paper is based on the concept of the stochastic guide first proposed by Krasovskii and Kotelnikova.


2021 ◽  
Vol 2021 ◽  
pp. 1-12
Author(s):  
Yu Hao ◽  
Chaolun Sun ◽  
Jianping Wei ◽  
Sasa Gu ◽  
Fan Zhang

Emergency management of coal mines requires enhanced synergy among departments, institutions, and enterprises, which means overall efficiency in management. Their synergy can effectively lower the cost of emergency management, improve the effectiveness of it, and build a strong joint force for the prevention and control of emergencies. Accordingly, this study established a synergy system for regional coal mine emergency management and analyzed the interest relationship among key stakeholders in the system. Then, it established differential game models of the management synergy, explored the selection process of the behavior strategy of each stakeholder under different situations, and provided important tools for quantitative analysis on emergency management synergy practice. Furthermore, numerical simulation was carried out to analyze the influencing factors of their decision behaviors. The research results are of great significance for the comprehension of the evolution mechanism for the emergency management synergy of coal mines, the assistance for the government in determining the optimal method in emergency management synergy, the mobilization of the stakeholders, and the improvement of the current situation of emergency management synergy of coal mines in China.


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